1011525200952 has 256 divisors, whose sum is σ = 3053223936000. Its totient is φ = 278853966720.

The previous prime is 1011525200927. The next prime is 1011525200981. The reversal of 1011525200952 is 2590025251101.

1011525200952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88545913 + ... + 88557335.

It is an arithmetic number, because the mean of its divisors is an integer number (11926656000).

Almost surely, 2^{1011525200952} is an apocalyptic number.

1011525200952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011525200952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526611968000).

1011525200952 is an abundant number, since it is smaller than the sum of its proper divisors (2041698735048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011525200952 is a wasteful number, since it uses less digits than its factorization.

1011525200952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11831 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

The spelling of 1011525200952 in words is "one trillion, eleven billion, five hundred twenty-five million, two hundred thousand, nine hundred fifty-two".